This paper attempts to use nonlinear differential equations as a research model. The purpose of this paper is to analyze the risk of financial management. This paper uses the chaos theory of a general nonlinear system to study the differential relationship of financial trouble. We use them to research and solve the management problems of the economic system. Then, this paper proposes a model related to the evolution of the economic system and the prediction of financial and financial risks. The research results show that the method proposed in this paper can realize the synchronization and balance point control of general economic chaotic systems.